Some topological and geometric properties of novel generalized Motzkin sequence spaces
Yazarlar (3)
Prof. Dr. Serkan DEMİRİZ
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Adem ŞAHİN
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Malatya Turgut Özal Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | Rendiconti Del Circolo Matematico Di Palermo |
| Dergi ISSN | 0009-725X Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | Mathematical Reviews, zbMATH |
| Makale Dili | İngilizce |
| Basım Tarihi | 05-2025 |
| Cilt No | 74 |
| Sayı | 4 |
| Sayfalar | 1 / 19 |
| DOI Numarası | 10.1007/s12215-025-01243-3 |
| Makale Linki | https://link.springer.com/content/pdf/10.1007/s12215-025-01243-3.pdf |
| Özet |
| The present study aims constructing the BK-spaces ℓp(G) and ℓ∞(G) generated by generalized Motzkin (GM) matrix G, which is conservative and derived by GM numbers. The Schauder basis of ℓp(G) for 1≤p<∞ is obtained and the inclusion relations are presented. Additionally, the α-, β- and γ-duals of ℓp(G) and ℓ∞(G) are described and finally, these spaces are examined in terms of some topological and geometric properties. |
| Anahtar Kelimeler |
| Approximation property | Dunford-Pettis property | Generalized Motzkin numbers | Hahn-Banach extension property | Radon-Riesz property | Rotundity | Sequence spaces | Smoothness |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 1 |
| SCOPUS | 2 |
| Google Scholar | 3 |